I do like my wider fabric bands, but I don’t think they are necessary. I started with a cheaper brand from Amazon that I still use sometimes, but either I got stronger or the elastic stretched out after a while, probably a little of both.
I sometimes use Rogue shorty monster bands. They are 12”, so a little smaller than some bands.
https://www.roguefitness.com/rogue-shorty-monster-bands
I haven’t tried the Arena bands but I like Glute Loops which are a similar price. There are two sizes, 13” and 15”, if that helps you compare with other brands.